Question

(x+y+z)2 formula pls answer​

Answer 1

Answer:

(x+y+z)²=x²+y²+z²+2(xy+yz+zx) Hope you like the answer

Answer 2

QUESTION :- Expand the formula (x+y+z)².

ANSWER :-

(x+y+z)² is a identity in mathematics.

Here is the formulation of the identity. ⤵️

$(x + y + z)(x + y + z)$

Distributing the terms

$= x(x + y + z) + y(x + y + z) + z(x + y + z)$

$= {x}^{2} + xy + xz + xy + {y}^{2} + yz + xz + yz + {z}^{2}$

Combining the terms

$= {x}^{2} + 2xy + xz + {y}^{2} + yz + xz + yz + {z}^{2}$

$= {x}^{2} + 2xy + 2xz + {y}^{2} + yz + yz + {z}^{2}$

$= {x}^{2} + 2xy + 2xz + {y}^{2} + 2yz + {z}^{2}$

Solution

$= {x}^{2} + {y}^{2} + {z}^{2} + 2xy + 2yz + 2xz$

${x}^{2} + {y}^{2} + {z}^{2} + 2(xy + yz +xz)$

Hence ${(x+y+z)}^{2}= {x}^{2} + {y}^{2} + {z}^{2} + 2(xy + yz +xz)$